Least Common Multiple (LCM) of 127 and 166
The least common multiple (LCM) of 127 and 166 is 21082.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 127 and 166?
First, calculate the GCD of 127 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 166 = 0 remainder 127 |
| 2 | 166 ÷ 127 = 1 remainder 39 |
| 3 | 127 ÷ 39 = 3 remainder 10 |
| 4 | 39 ÷ 10 = 3 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 83 | 9379 |
| 42 and 63 | 126 |
| 178 and 181 | 32218 |
| 112 and 160 | 1120 |
| 47 and 139 | 6533 |